Results 11 to 20 of about 94 (68)

Periodic solutions of systems with asymptotically even nonlinearities [PDF]

International Journal of Stochastic Analysis, Volume 13, Issue 1, Page 41-50, 2000., 2000
New conditions of solvability based on a general theorem on the calculation of the index at infinity for vector fields that have degenerate principal linear part as well as degenerate “next order” terms are obtained for the 2π‐periodic problem for the scalar equation x″ + n2x = g(|x|) + f(t, x) + b(t) with bounded g(u) and f(t, x) → 0 as |x| → 0.
Peter E. Kloeden, Alexander M. Krasnosel′skii   +1 more
wiley   +2 more sources

An Innovative Approach to the Product of k-Hybrid Functional Integral Equation

Abstract and Applied Analysis
MSC2020 Classification: 46E30, 45G10, 47H30, 47N20, and ...
A. M. A. El-Sayed, Sh. M. Al-Issa
doaj   +2 more sources

Some approximation properties of Urysohn type nonlinear operators [PDF]

, 2019
The central issue of this paper is to continue the investigation of convergence properties of Urysohn type operators. By using Urysohn type operators we will extend the theory of interpolation to functionals and operators.
KARSLI, Harun
core   +2 more sources

On the solutions of nonlinear initial‐boundary value problems

Abstract and Applied Analysis, Volume 2004, Issue 5, Page 407-424, 2004., 2004
We deal with the general initial‐boundary value problem for a second‐order nonlinear nonstationary evolution equation. The associated operator equation is studied by the Fredholm and Nemitskii operatortheory. Under local Hölder conditions for the nonlinear member, we observe quantitative and qualitative properties of the set of solutions of the given ...
Vladimír Ďurikovič, Monika Ďurikovičová   +1 more
wiley   +1 more source

On a nonlinear compactness lemma in Lp(0, T; B)

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1725-1730, 2003., 2003
We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic‐parabolic type. This paper was motivated by previous results of Simon (1987), recently sharpened by Amann (2000), in the linear setting, and by a nonlinear compactness argument of Alt and Luckhaus ...
Emmanuel Maitre
wiley   +1 more source

Positive solutions of some nonlocal boundary value problems

Abstract and Applied Analysis, Volume 2003, Issue 18, Page 1047-1060, 2003., 2003
We establish the existence of positive solutions of some m‐point boundary value problems under weaker assumptions than previously employed. In particular, we do not require all the parameters occurring in the boundary conditions to be positive. Our results allow more general behaviour for the nonlinear term than being either sub‐ or superlinear.
Gennaro Infante, J. R. L. Webb
wiley   +1 more source

Dominated Uryson operators

, 2014
The aim of this note is to introduce the space DU (V,W ) of dominated orthogonally additive operators on lattice-normed spaces. We prove that under some mild conditions, a dominated Uryson operator has an exact dominant and obtain formulas for ...
M. Pliev, M. Popov
semanticscholar   +1 more source

Nonincreasing Solutions for Quadratic Integral Equations of Convolution Type

Journal of Mathematics and Applications, 2019
We study a nonlinear quadratic integral equation of Convolution type in the Banach space of real functions defined and continuous on a bounded and closed interval.
W. El-Sayed, A. El-Mowla
semanticscholar   +1 more source

Commutators in real interpolation with quasi‐power parameters

Abstract and Applied Analysis, Volume 7, Issue 5, Page 239-257, 2002., 2002
The basic higher order commutator theorem is formulated for the real interpolation methods associated with the quasi‐power parameters, that is, the function spaces on which Hardy inequalities are valid. This theorem unifies and extends various results given by Cwikel, Jawerth, Milman, Rochberg, and others, and incorporates some results of Kalton to the
Ming Fan
wiley   +1 more source

Domination problem for orthogonally additive operators in lattice-normed spaces

, 2015
We continue the investigation of dominated Uryson operators in lattice-normed spaces started in [16]. The main subjects are laterally continuous, completely additive and C-compact dominated Uryson operators.
Aida Getoeva, M. Pliev
semanticscholar   +1 more source